Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 38

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IMPORTANT

Earn 100

If $A$ and $B$ are two square matrices such that $B = - A^{- 1} B A,$ then $(A + B)^{2} =$

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Important Questions on Matrices and Determinants

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 39

If

A = [\begin{array}{l} 1 & 0 \\ 1 & 1 \end{array}]

, then

A^{2008}

is equal to

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 40

Let

A = [\begin{matrix} \frac{1}{2} & \frac{3}{4} \\ 1 & - \frac{1}{2} \end{matrix}]

, then the value of sum of all the elements of

A^{100}

is

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 41

If the square matrices

A

and

B

are such that

A B = A

and

B A = B

, then

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 42

If

A = (\begin{array}{l} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{array}),

then

adj (adj A)

is equal to

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 43

If

A

is a

3 \times 3

matrix such that

| A | = 27, A d j (A) = k A^{T},

then

k^{2} - 3 k + 5 =

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 44

If

A

and

B

are non-singular matrices, then

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Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 45

Matrix

A = [\begin{matrix} 1 & 0 & - k \\ 2 & 1 & 3 \\ k & 0 & 1 \end{matrix}]

is invertible for

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IMPORTANT

Mathematics Crash Course JEE Main>Chapter 19 - Matrices and Determinants>Level 1>Q 46

If

A = {[a_{i j}]}_{2 \times 2}

, where

a_{i j} = \{\begin{cases} i + j, & if i \neq j \\ i^{2} - 2 j, & if i = j \end{cases}

then

A^{- 1}

is equal to